Amply (weakly) Goldie-Rad-supplemented modules
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Amply (weakly) Goldie-Rad-supplemented modules
|
|
| Creator |
Mutlu, F.T.
|
|
| Description |
Let R be a ring and M be a right R-module. We say a submodule S of M is a \textit{(weak) Goldie-Rad-supplement} of a submodule N in M, if M=N+S, (N∩S≤Rad(M)) N∩S≤Rad(S) and Nβ∗∗S, and M is called amply (weakly) Goldie-Rad-supplemented if every submodule of M has ample (weak) Goldie-Rad-supplements in M. In this paper we study various properties of such modules. We show that every distributive projective weakly Goldie-Rad-Supplemented module is amply weakly Goldie-Rad-Supplemented. We also show that if M is amply (weakly) Goldie-Rad-supplemented and satisfies DCC on (weak) Goldie-Rad-supplement submodules and on small submodules, then M is Artinian.
|
|
| Date |
2019-06-17T11:40:13Z
2019-06-17T11:40:13Z 2016 |
|
| Type |
Article
|
|
| Identifier |
Amply (weakly) Goldie-Rad-supplemented modules / F.T. Mutlu // Algebra and Discrete Mathematics. — 2016. — Vol. 22, № 1. — С. 94-101. — Бібліогр.: 6 назв. — англ.
1726-3255 2010 MSC:16D10, 16D40, 16D70. http://dspace.nbuv.gov.ua/handle/123456789/155747 |
|
| Language |
en
|
|
| Relation |
Algebra and Discrete Mathematics
|
|
| Publisher |
Інститут прикладної математики і механіки НАН України
|
|